Puzzle Agent 2 is a puzzle adventure game by Telltale and (naturally enough) a sequel to Puzzle Agent, which has had an excellent LP I recommend you watch: http://lparchive.org/Puzzle-Agent/
The original game was a twisted amalgam of the works of cartoonist Graham Annable, aka grickle and a plot inspired by David Lynch, Stanley Kubrick and the Coen brothers (most notably Fargo). The second game, by comparison, is pretty damn weird.
Most Telltale games are somewhat simplified takes on the classic adventure game genre, but Puzzle Agent is a combination of adventure game and the ever so reviled "puzzle game" genre. Oddly enough, it works quite well, possibly because the puzzles are an integral part of the plot rather than obstacles tacked on at random intervals.
Original Archived Let's Play available at the Let's Play Archive